account transfer - MYSQL DB not copied over

I am doing a multiple account transfer from a plesk to cpanel. The transfer completes successfully, everything is copied, except the databases. Even the DB users are copied and show up in the mysql user table on the new server. The relevant parts of the transfer log all show a successful operation:
pXa Grabbing mysql dbs...Done

Restoring MySQL databases.... Done
Restoring MySQL privs
Done

Reloading MySQL
Done

So, after moving several accounts, I still have only the 3 default databases (eximstats, horde and mysql).